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Finding the Fourth Proportional to 4,653.72, 6,430.44 and 3,463.50

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Solution

The fourth proportional to 4,653.72, 6,430.44 and 3,463.50 is: 4,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.72 : 6,430.44 = 3,463.50 : x
  2. Step 2: Convert to fraction form
    4,653.72/6,430.44 = 3,463.50/x
  3. Step 3: Cross multiply
    4,653.72x = 6,430.44 × 3,463.50
  4. Step 4: Simplify right side
    4,653.72x = 22,271,828.94
  5. Step 5: Solve for x
    x = 22,271,828.94/4,653.72
  6. Step 6: Final answer
    x = 4,785.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.